The discussion centers on solving the equation sin(2θ) = 0.348, where one known angle is 10.2 degrees. The second angle is derived from the sine function properties, specifically x = 2θ, leading to x = 20.4 degrees or x = 180 - 20.4 degrees. The confusion arises from the interpretation of the second angle, which should be calculated as 90 - 10.2 degrees according to the properties of the sine function in the second quadrant.
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Let x=2θ. Then you have sin x = 0.348, so x=20.4 or x=180-20.4. Now write x in terms of θ and solve.maiad said:I was wonder how to find the second angle to this problem. I already know one of the angle is 10.2 degree but shouldn't the the second angle be 180-(2*10.2) since in the second quadrant, sin values are positive but in the book, it's given as 90-10.2. Is it something to do with the properties of (2 theta)?